<u>Shape #1: A square.</u>
Every side is 4 units long.
The perimeter is 16 units.
The area is <em>16 </em>square units.
<u>Shape #2: A rectangle.</u>
The length is 7.9 units.
The width is 0.1 unit.
The perimeter is 16 units.
The area is <em>0.79</em> of a square unit.
<u>Shape #3: A circle.</u>
The diameter is (16/π) units. (about 5.093 units)
The perimeter (circumference) is 16 units.
The area is (64/π) square units. (about <em>20.37</em> square units)
Answer:
yellow
Step-by-step explanation:
Answer:
$9.68
Step-by-step explanation:
64.54 * 0.15 = 9.68
Answer:
359,000,000
Step-by-step explanation:
Brainliest plz :3
Answer:
- The system has infinitely many solutions when a = 3/4 and b = 1/2
<h3>Given </h3>
System of linear equations
<h3>To find </h3>
- Values of a and b that leads to infinitely many solutions
<h3>Solution</h3>
The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.
We can solve it in two different ways
1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.
- 4ax + 4by = 64
- 3x + 2y = 64
When compared it gives us:
- 4a = 3 ⇒ a = 3/4
- 4b = 2 ⇒ b = 2/4 = 1/2
2. Convert both equations from standard to slope-intercept form and compare:
- ax + by = 16
- by = -ax + 16
- y = - (a/b)x + 16/b
- 3x + 2y = 64
- 2y = - 3x + 64
- y = - (3/2)x + 32
Work out values of a and b:
- 16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2
- - (a/b) = - 3/2 ⇒ a/b = 3/2 ⇒ a = 3b/2 ⇒ a = 3(1/2)/2 ⇒ a = 3/4
